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Featured researches published by Manuel Valdivia.


Proceedings of the Edinburgh Mathematical Society | 1981

On quasi-normable echelon spaces

Manuel Valdivia

In this paper we prove that if the strong dual of an echelon space fulfils the Mackey convergence condition the echelon space is quasi-normable. Also we give a characterisation of the quasi-normable echelon spaces and we deduce that every non-quasi-normable echelon space is the strong dual of a non-complete ( LB )-space.


Archive | 1982

Topics in locally convex spaces

Manuel Valdivia


Journal of Functional Analysis | 1977

Some new results on weak compactness

Manuel Valdivia


Crelle's Journal | 1972

Some criteria for weak compactness.

Manuel Valdivia


Mathematische Zeitschrift | 1989

A characterization of totally reflexive Fréchet spaces

Manuel Valdivia


Studia Mathematica | 2000

Extension maps in ultradifferentiable and ultraholomorphic function spaces

Jean Schmets; Manuel Valdivia


Mathematische Zeitschrift | 1981

A representation of the space\(\mathcal{O}_M \)

Manuel Valdivia


Mathematische Zeitschrift | 1981

On totally barreled spaces

Manuel Valdivia; Pedro Pérez Carreras


Crelle's Journal | 1975

A class of precompact sets in Banach spaces.

Manuel Valdivia


Studia Mathematica | 1973

On weak compactness

Manuel Valdivia

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